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1-2 Line Segments and Distance
Find each measure. Assume that each figure is ALGEBRA Find the value of x and BC if B is
not drawn to scale. between C and D.
1. CD 3. CB = 2x, BD = 4x, and BD = 12
SOLUTION:
Here B is between C and D.
SOLUTION:
So, CD = 3.8 in.
ANSWER:
3.8 in.
Therefore, x is 3. BC = 2x = 2(3) = 6.
2. RS
Thus, BC is 6.
ANSWER:
SOLUTION:
x = 3; BC = 6
So, RS = 2.4 cm.
ANSWER:
2.4 cm
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1-2 Line Segments and Distance
6. WZ
4. CB = 4x – 9, BD = 3x + 5, and CD = 17
SOLUTION:
SOLUTION:
Here B is between C and D.
The distance between W and Z is 9 units. So, WZ =
9.
ANSWER:
9
Then x = 3.
Use the value of x to find BC.
BC = CB = 4(3) – 9 = 3
ANSWER:
x = 3; BC = 3
Use the number line to find each measure.
5. XY
SOLUTION:
The distance between X and Y is 8 units. So, XY = 8.
ANSWER:
8
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1-2 Line Segments and Distance
8. A(4, 9), C(9, 0)
TIME CAPSULE Graduating classes have
buried time capsules on the campus of East Side
SOLUTION:
High School for over twenty years. The points
Use the Distance Formula.
on the diagram show the position of three time
capsules. Find the distance between each pair of
time capsules.
The distance between A and C is or about 10.3
units.
ANSWER:
7. A(4, 9), B(2, –3)
or about 10.3 units
SOLUTION:
9. B(2, –3), C(9, 0)
Use the Distance Formula.
SOLUTION:
Use the Distance Formula.
Substitute.
The distance between A and B is or about 12.2
units.
ANSWER:
or about 12.2 units
The distance between B and C is or about 7.6
units.
ANSWER:
or about 7.6 units
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1-2 Line Segments and Distance
10. ANALYZE RELATIONSHIPS Which two time 13. SV
capsules are the closest to each other? Which are
farthest apart?
SOLUTION:
Look at the distances found for each segment AB,
SOLUTION:
AC, and BC. Since BC is the shortest, B and C are
the closest to each other. Since AB is the longest
distance, A and B are farthest apart.
ANSWER:
B and C; A and B
So, SV = 1.5 in.
Find each measure. Assume that each figure is
ANSWER:
not drawn to scale.
1.5 in.
11. JL
14. PR
SOLUTION:
SOLUTION:
So, JL = 1.1 cm.
ANSWER:
1.1 cm
12. EF
So, PR = 2.1 mm.
ANSWER:
2.1 mm
SOLUTION:
So, EF = 5.3 in.
ANSWER:
5.3 in.
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